Answer
Matches $(a)$
Work Step by Step
Given $\frac{d y}{d x}=\frac{1}{x} $
So, we get at $x=0 \Rightarrow \frac{d y}{d x}=\frac{1}{0}$ (undefined), this implies that the tangent is vertical at $x=0$ and that is shown in $(a)$.
Calculus 10th Edition
by Larson, Ron; Edwards, Bruce H.
Published by
Brooks Cole
ISBN 10:
1-28505-709-0
ISBN 13:
978-1-28505-709-5
Chapter 6 - Differential Equations - 6.1 Exercises - Page 404: 60
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